Transition from Abelian to non-Abelian quantum liquids in the second Landau level

Details Transition from Abelian to non-Abelian quantum liquids in the second Landau level Transition from Abelian to non-Abelian quantum liquids in the second Landau level

2008-11-25

arxiv.org/abs/0811.4072v3

Phys. Rev. B 80, 041104(R) (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

The search for non-Abelian quantum Hall states in the second Landau level is narrowed to the range of filling factors 7/3<\nu_e<8/3. In this range, the analysis of energy spectra and correlation functions, calculated including finite width and Landau level mixing, supports the prominent non-Abelian candidates at \nu_e=5/2 (Moore--Read) and 12/5 (Read--Rezayi). Outside of it, the four-flux noninteracting composite fermion model is validated. The borderline \nu_e=7/3 state is adiabatically connected to the Laughlin liquid, but its short-range correlations and charge excitations are different.

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